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Finding the Fourth Proportional to 151,345.50, 208,863.27 and 84,277.50

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Solution

The fourth proportional to 151,345.50, 208,863.27 and 84,277.50 is: 116,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,345.50 : 208,863.27 = 84,277.50 : x
  2. Step 2: Convert to fraction form
    151,345.50/208,863.27 = 84,277.50/x
  3. Step 3: Cross multiply
    151,345.50x = 208,863.27 × 84,277.50
  4. Step 4: Simplify right side
    151,345.50x = 17,602,474,237.43
  5. Step 5: Solve for x
    x = 17,602,474,237.43/151,345.50
  6. Step 6: Final answer
    x = 116,306.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.